967344120 has 192 divisors, whose sum is σ = 3402846720. Its totient is φ = 246685824.

The previous prime is 967344113. The next prime is 967344121. The reversal of 967344120 is 21443769.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967344121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221397 + ... + 225723.

It is an arithmetic number, because the mean of its divisors is an integer number (17723160).

Almost surely, 2^967344120 is an apocalyptic number.

967344120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967344120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701423360).

967344120 is an abundant number, since it is smaller than the sum of its proper divisors (2435502600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

967344120 is a wasteful number, since it uses less digits than its factorization.

967344120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4376 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 967344120 is about 31102.1561953508. The cubic root of 967344120 is about 988.9940194495.

Adding to 967344120 its reverse (21443769), we get a palindrome (988787889).

The spelling of 967344120 in words is "nine hundred sixty-seven million, three hundred forty-four thousand, one hundred twenty".